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Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry 具有奇数时间反演对称性的拓扑绝缘体的绝对连续边谱
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01846-4
Alex Bols, Christopher Cedzich
{"title":"Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry","authors":"Alex Bols,&nbsp;Christopher Cedzich","doi":"10.1007/s11005-024-01846-4","DOIUrl":"10.1007/s11005-024-01846-4","url":null,"abstract":"<div><p>We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum. To accomplish this, we establish a time-reversal symmetric version of the Wold decomposition that singles out extended edge modes of the topological insulator.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01846-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141785908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dark breathers on a snoidal wave background in the defocusing mKdV equation 散焦 mKdV 方程中鼻息波背景上的暗呼吸器
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-24 DOI: 10.1007/s11005-024-01844-6
Ana Mucalica, Dmitry E. Pelinovsky
{"title":"Dark breathers on a snoidal wave background in the defocusing mKdV equation","authors":"Ana Mucalica,&nbsp;Dmitry E. Pelinovsky","doi":"10.1007/s11005-024-01844-6","DOIUrl":"10.1007/s11005-024-01844-6","url":null,"abstract":"<div><p>We present a new exact solution to the defocusing modified Korteweg–de Vries equation to describe the interaction of a dark soliton and a traveling periodic wave. The solution (which we refer to as the dark breather) is obtained by using the Darboux transformation with the eigenfunctions of the Lax system expressed in terms of the Jacobi theta functions. Properties of elliptic functions including the quarter-period translations in the complex plane are applied to transform the solution to the simplest form. We explore the characteristic properties of these dark breathers and show that they propagate faster than the periodic wave (in the same direction) and attain maximal localization at a specific parameter value which is explicitly computed.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141786220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological twists of massive SQCD, Part II 大质量 SQCD 的拓扑扭曲，第二部分
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-15 DOI: 10.1007/s11005-024-01829-5
Johannes Aspman, Elias Furrer, Jan Manschot
{"title":"Topological twists of massive SQCD, Part II","authors":"Johannes Aspman,&nbsp;Elias Furrer,&nbsp;Jan Manschot","doi":"10.1007/s11005-024-01829-5","DOIUrl":"10.1007/s11005-024-01829-5","url":null,"abstract":"<div><p>This is the second and final part of ‘Topological twists of massive SQCD’. Part I is available at Lett. Math. Phys. 114 (2024) 3, 62. In this second part, we evaluate the contribution of the Coulomb branch to topological path integrals for <span>(mathcal {N}=2)</span> supersymmetric QCD with <span>(N_fle 3)</span> massive hypermultiplets on compact four-manifolds. Our analysis includes the decoupling of hypermultiplets, the massless limit and the merging of mutually non-local singularities at the Argyres–Douglas points. We give explicit mass expansions for the four-manifolds <span>(mathbb {P}^2)</span> and <i>K</i>3. For <span>(mathbb {P}^2)</span>, we find that the correlation functions are polynomial as function of the masses, while infinite series and (potential) singularities occur for <i>K</i>3. The mass dependence corresponds mathematically to the integration of the equivariant Chern class of the matter bundle over the moduli space of <i>Q</i>-fixed equations. We demonstrate that the physical partition functions agree with mathematical results on Segre numbers of instanton moduli spaces.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01829-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141648534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Counting meromorphic differentials on ({mathbb {C}mathbb {P}}^1) 计算 $${mathbb {C}mathbb {P}}^1$ 上的微分函数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-13 DOI: 10.1007/s11005-024-01823-x
Alexandr Buryak, Paolo Rossi
{"title":"Counting meromorphic differentials on ({mathbb {C}mathbb {P}}^1)","authors":"Alexandr Buryak,&nbsp;Paolo Rossi","doi":"10.1007/s11005-024-01823-x","DOIUrl":"10.1007/s11005-024-01823-x","url":null,"abstract":"<div><p>We give explicit formulas for the number of meromorphic differentials on <span>(mathbb{C}mathbb{P}^1)</span> with two zeros and any number of residueless poles and for the number of meromorphic differentials on <span>(mathbb{C}mathbb{P}^1)</span> with one zero, two poles with unconstrained residue and any number of residueless poles, in terms of the orders of their zeros and poles. These are the only two finite families of differentials on <span>(mathbb{C}mathbb{P}^1)</span> with vanishing residue conditions at a subset of poles, up to the action of <span>(textrm{PGL}(2,mathbb {C}))</span>. The first family of numbers is related to triple Hurwitz numbers by simple integration and we show its connection with the representation theory of <span>(textrm{SL}_2(mathbb {C}))</span> and the equations of the dispersionless KP hierarchy. The second family has a very simple generating series, and we recover it through surprisingly involved computations using intersection theory of moduli spaces of curves and differentials.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01823-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141613229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on Cotton solitons 关于棉孤子的评论
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-09 DOI: 10.1007/s11005-024-01840-w
Rahul Poddar
{"title":"Remarks on Cotton solitons","authors":"Rahul Poddar","doi":"10.1007/s11005-024-01840-w","DOIUrl":"10.1007/s11005-024-01840-w","url":null,"abstract":"<div><p>In this note, we show that the potential vector field of a Cotton soliton (<i>M</i>, <i>g</i>, <i>V</i>) is an infinitesimal harmonic transformation, and we use it to give another proof of the triviality of compact Cotton solitons. Moreover, we extend this triviality result to the complete case by imposing certain regularity conditions on the potential vector field <i>V</i>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141570221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Examples of cosmological spacetimes without CMC Cauchy surfaces 无 CMC 考奇曲面的宇宙时空范例
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-09 DOI: 10.1007/s11005-024-01843-7
Eric Ling, Argam Ohanyan
{"title":"Examples of cosmological spacetimes without CMC Cauchy surfaces","authors":"Eric Ling,&nbsp;Argam Ohanyan","doi":"10.1007/s11005-024-01843-7","DOIUrl":"10.1007/s11005-024-01843-7","url":null,"abstract":"<div><p>CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simpler by assuming CMC initial data. However, Bartnik (Commun Math Phys 117(4):615–624, 1988) constructed a cosmological spacetime without a CMC Cauchy surface whose spatial topology is the connected sum of two three-dimensional tori. Similarly, Chruściel et al. (Commun Math Phys 257(1):29–42, 2005) constructed a vacuum cosmological spacetime without CMC Cauchy surfaces whose spatial topology is also the connected sum of two tori. In this article, we enlarge the known number of spatial topologies for cosmological spacetimes without CMC Cauchy surfaces by generalizing Bartnik’s construction. Specifically, we show that there are cosmological spacetimes without CMC Cauchy surfaces whose spatial topologies are the connected sum of any compact Euclidean or hyperbolic three-manifold with any another compact Euclidean or hyperbolic three-manifold. Analogous examples in higher spacetime dimensions are also possible. We work with the Tolman–Bondi class of metrics and prove gluing results for variable marginal conditions, which allows for smooth gluing of Schwarzschild to FLRW models.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01843-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141570220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The linearized Einstein equations with sources 有源的线性化爱因斯坦方程
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-08 DOI: 10.1007/s11005-024-01841-9
Peter Hintz
{"title":"The linearized Einstein equations with sources","authors":"Peter Hintz","doi":"10.1007/s11005-024-01841-9","DOIUrl":"10.1007/s11005-024-01841-9","url":null,"abstract":"<div><p>On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily) divergence-free source. We prove that the vanishing of appropriate charges of the source, defined in terms of Killing vector fields on the spacetime, is necessary and sufficient for solvability within the class of spatially compactly supported metric perturbations. The proof combines classical results by Moncrief with the solvability theory of the linearized constraint equations with control on supports developed by Corvino–Schoen and Chruściel–Delay.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01841-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141570222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit 磁性狄拉克系统：之字形极限中违反体边对应关系的现象
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-05 DOI: 10.1007/s11005-024-01839-3
J.-M. Barbaroux, H. D. Cornean, L. Le Treust, N. Raymond, E. Stockmeyer
{"title":"Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit","authors":"J.-M. Barbaroux,&nbsp;H. D. Cornean,&nbsp;L. Le Treust,&nbsp;N. Raymond,&nbsp;E. Stockmeyer","doi":"10.1007/s11005-024-01839-3","DOIUrl":"10.1007/s11005-024-01839-3","url":null,"abstract":"<div><p>We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves, we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. Moreover, these results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A crossed module representation of a 2-group constructed from the 3-loop group (Omega ^3G) 由三环群 $$Omega ^3G$$ 构造的二元组的交叉模代表
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-04 DOI: 10.1007/s11005-024-01842-8
Jouko Mickelsson
{"title":"A crossed module representation of a 2-group constructed from the 3-loop group (Omega ^3G)","authors":"Jouko Mickelsson","doi":"10.1007/s11005-024-01842-8","DOIUrl":"10.1007/s11005-024-01842-8","url":null,"abstract":"<div><p>The quantization of chiral fermions on a 3-manifold in an external gauge potential is known to lead to an abelian extension of the gauge group. In this article, we concentrate on the case of <span>(Omega ^3 G)</span> of based smooth maps on a 3-sphere taking values in a compact Lie group <i>G</i>. There is a crossed module constructed from an abelian extension <span>(widehat{Omega ^3 G})</span> of this group and a group of automorphisms acting on it as explained in a recent article by Mickelsson and Niemimäki. We shall construct a representation of this crossed module in terms of a representation of <span>(widehat{Omega ^3 G})</span> on a space of functions of gauge potentials with values in a fermionic Fock space and a representation of the automorphism group of <span>(widehat{Omega ^3 G})</span> as outer automorphisms of the canonical anticommutation relations algebra in the Fock space.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01842-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction: Lorentzian metric spaces and their Gromov–Hausdorff convergence 更正：洛伦兹度量空间及其格罗莫夫-豪斯多夫收敛性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2024-07-01 DOI: 10.1007/s11005-024-01837-5
E. Minguzzi, S. Suhr
{"title":"Correction: Lorentzian metric spaces and their Gromov–Hausdorff convergence","authors":"E. Minguzzi,&nbsp;S. Suhr","doi":"10.1007/s11005-024-01837-5","DOIUrl":"10.1007/s11005-024-01837-5","url":null,"abstract":"","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-024-01837-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141692412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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